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The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
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∙ 10y ago
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What can you conclude about the square roots of numbers that are not perfect squares?
You cannot conclude anything.2.25 is not a perfect square but its square roots are +/- 1.5 so it is perfectly possible for a number which is not a perfect square to have a rational square roots.
Is the square root of 97 rational or irrational?
The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.
Which two consecutive whole numbers does the square root of fifty five lie between?
Just check the squares of a few whole numbers. If 55 is between two of those squares, then its square root is also between the corresponding square roots.
What are the symbols used in quadratic equations?
Addition, subtraction signs, brackets, squares and powers, square roots and roots, fractions. Random variables are also used, like x.
What is the 4 mistakes of this phrase The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side?
The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 1. squares, not square roots 2. right triangle, not isosceles 3. sides opposite the hypotenuse, not any two 4. What are the mistakes, not what is
What is the relationship between perfect squares and square roots?
The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36
What are examples of perfect square roots?
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
What has integer's as square roots?
perfect squares
How are square roots and perfect squares the same?
They are not.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
What can you conclude about the square roots of numbers that are not perfect squares?
You cannot conclude anything.2.25 is not a perfect square but its square roots are +/- 1.5 so it is perfectly possible for a number which is not a perfect square to have a rational square roots.
Numbers whose square roots are integers are called?
perfect squares
What is a number that has large integers as its square roots?
Large perfect squares.
Why are square roots and perfect squares important?
All numbers are important.
What types of numbers have whole number square roots?
They are the perfect squares.
What are numbers with with square roots that are a whole number called?
perfect squares
What are numbers with square roots that are whole numbers?
They are called perfect squares.
